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CONSTEUCTION OF TEIGONOMETEIC TABLE

CONSTRUCTION OF TRIGONOMETRIC TABLE

SOLUTION OF PLANE RIGHT TEIANGLES.

SOLUTION OF PLANE RIGHT TRLANGLES.

ADDITIONAL FORMULA FOE EIGHT TRIANG

FOEMULiE FOE OBLIQUE TRIANGLES. 57

FORMULAE FOR OBLIQUE TRIANGLES. 59

FORMULA FOR OBLIQUE TRIANGLES. 61 1

FOEMULiE FOE OBLIQUE TELINGLES. 63

SOLUTION OP OBLIQUE TRIANGLES. 65 2

and the two values of e will be SOL

SOLUTION OF OBLIQUE TEIANGLES. 69 2

SOLUTION OF OBLIQUE TRIANGLES. 7] t

SOLUTION OF OBLIQUE TRIANGLES. 73 E

PROBLEMS RELATING TO PLANE TRIANGLE

PROBLEMS RELATING TO PLANE TRIANGLE

PROBLEMS EELATING TO PLANE TEIANGLE

PEOBLEMS EELATING TO PLANE TEIANGLE

PROBLEMS RELATING TO PLANE TRIANGLE

SOLUTION OF TRIGONOMETRIC EQUATIONS

SOLUTION OP TRIGONOMETRIC EQUATIONS

SOLUTION OF TRIGONOMETRIC EQUATIONS

SOLUTION OF TRIGONOMETRIC EQUATIONS

SOLUTION OF TRIGONOMETRIC EQUATIONS

EQUATIONS OF THE SECOND AND THIRD D

EQUATIONS OF THE SECOND AND THIRD D

EQUATIONS OF THE SECOND AND THIRD D

DIFFERENCES AND DIFFERENTIALS. 101

DIFFERENCES AND DIFFERENTIALS. 103

DIFFERENCES AND DIFFERENTIALS OF PL

DIFFERENCES OF PLANE TRUNQLES. 107

DIFFERENCES OP PLANE TRIANGLES 109

DIFFERENTIAL VARIATIONS OF PLANE TR

DIFFERENTIAL VARIATIONS OF PLANE TR

TRIGONOMETRIC SERIES. ^15 CHAPTER X

TRIGONOMETRIC SERIES. 117 209. To d

Substituting the values from (408)

TRIGONOMETRIC SERIES. 12I simpler t

Developing these logs, by the known

TRIGONOlVfETRIC SERIES. 125 For exa

EXPONENTIAL FORMUL.^. 127 CHAPTER X

EXPONENTIAL FORMULA. 129 221. Moivr

TRINOMIAL OR QUADRATIC FACTORS. 131

TRINOMIAL OR QUADRATIC FACTORS. 13i

MULTIPLE ANGLES. 135 CHAPTER XV. TR

MULTIPLE ANGLES. 137 (which must no

MULTIPLE ANGLES. 139 In these formu

MULTIPLE ANGLES. 1-11 in which m be

MULTIPLE ANGLES 143 If the denomina

MULTIPLE ANGLES. 145 253. The serie

which is reduced to (493) by puttin

PAET II. SPHERICAL TEIGONOMETllY. C

GENERAL FORMULA. l&l Again, B'O' si

GENERAL FORMULA. 153 2d. In the tri

we find the first of the following

then GENERAL FORMULAE. Let s denote

GENERAL FORMULA. 159 .._oo^{S-B)coa

25. Gauss's Theorem. If GENERAL FOR

30 We have also from (35) and (37)

ADDITIONAL rORMUL.ai. 165 sin /S =

SOLUTION OF SPHERICAL RIGHT TRIANGL

SOLUTION OF SPHERICAL RIGHT TRIANGL

SOLUTION OP SPHERICAL RIGHT TRIANGL

SOLUTION OF SPHERICAL RIGHT TRIANGL

SOLUTION OF SPHERICAL RIGHT TRIANGL

QUADRANTAL AND ISOSCELES TRIANGLES.

SOLUTION OF SPHERICAL OBLIQUE TRIAN

SOLUTION OF SPHERICAL OBLIQUE TRIAN

SOLUTION OF SPHERICAL OBLIQUE TRIAN

SOLUTION OF SPHERICAL OBLIQUE TRIAN

SOLUTION OF SPHERICAL OBLIQUE TRIAN

SOLUTION OF SPHERICAL OBLIQUE TRIAN

SOLUTION OF SPHERICAL OBLIQUE TRIAN

SOLUTION OF SPHERICAL OBLIQUE TRIAN

SOLUTION OF SPHERICAL OBLIQUE TRIAN

SOLUTION OF SPHERICAL OBLIQUE TRIAN

SOLUTION OF SPHERICAL OBLIQUE TRIAN

SOLUTION OF SPHERICAL OBLIQUE TRIAN

SOLUTION OF SPHE.IICAL OBLIQUE TRIA

SOLUTION OF SPHERICAL OBLIQUE TRIAN

SOLUTION OF SPHERICAL OBLIQUE TRIAN

SOLUTION OF SPHERICAL OBLIQUE TRIAN

SOLUTION OF SPHERICAL OBLIQUE TRIAN

SOLUTION OP SPHERICAL OBLIQUE TRIAN

SOLUTION OF THE GENERAL SPHERICAL T

SOLUTION OP THE GENERAL SPHERICAL T

SOLUTION OF THE GENERAL SPHERICAL T

SOLUTION OF THE GENERAL SPHERICAL T

SOLUTION OF THE GENERAL SPHERICAL T

SOLUTION OF THE GENERAL SPHERICAL T

SOLUTION OF THE GENERAL SPHERICAL T

AREA OP A SPHERICAL TRIANGLE. 229 C

AREA OF A SPHERICAL TRLANGLE. 281 1

By (43), DIFFERENCES OP SPHERICAL T

DIFFERENCES OF SPHERICAL TRIANGLES.

DIFFERENCES OF SPHERICAL TRIANGLES.

DIFFERENTIAL VARIATH-lNS OF SPHERIC

APPROXIMATE SOLUTION OP SPHERICAL T

APPROXIMATE SOLUTION OF SPHERICAL T

APPROXIMATE SOLUTION OF SPHERICAL T

MISCELLANEOUS PROBLEMS. Also, by th

MISCELLANEOUS PROBLEMS. 249 173- Le

Ther'fore, cos D cos R sin T Substi

MISCELLANEOUS PROBLEMS. 253 18!^ TJ

whence and similarly .MISCELLANEOUS